35073812052 has 192 divisors, whose sum is σ = 99748454400. Its totient is φ = 10616417280.

The previous prime is 35073812047. The next prime is 35073812057. The reversal of 35073812052 is 25021837053.

It is a happy number.

35073812052 is a `hidden beast` number, since 3 + 507 + 3 + 81 + 20 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (35073812047) and next prime (35073812057).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 35073811998 and 35073812016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35073812057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6803908 + ... + 6809060.

It is an arithmetic number, because the mean of its divisors is an integer number (519523200).

Almost surely, 2^35073812052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35073812052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49874227200).

35073812052 is an abundant number, since it is smaller than the sum of its proper divisors (64674642348).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

35073812052 is a wasteful number, since it uses less digits than its factorization.

35073812052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5323 (or 5315 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 35073812052 in words is "thirty-five billion, seventy-three million, eight hundred twelve thousand, fifty-two".